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  • The given matrix <img alt="\left[\begin{array}{lll}{1} & {2} & {3}\end{array}\right]" src="https://learn.careers360.com/latex-image/?%5Cleft%5B%5Cbegin%7Barray%7D%7Blll%7D%7B1%7D%20%26%20%7

The given matrix \left[\begin{array}{lll}{1} & {2} & {3}\end{array}\right] is a 

Option: 1

Row matrix of order 1x3


Option: 2

Row matrix of order 3x1


Option: 3

Column matrix of order 1x3


Option: 4

Column matrix of order 3x1


Answers (1)

best_answer

 

 

Matrices, order of matrices, row and column matrix -

A set of \mathrm{m\times n} numbers (real or complex) or objects or symbols arranged in form of a rectangular array having m rows and n columns and bounded by brackets [?] is called matrix of order m × n, read as m by n matrix.

E.g for m = 2 and n =3, we have \begin{bmatrix} 2 & 4 & -3\\ 5 & 4 & 6 \end{bmatrix}  order of this matrix is 2×3

 

Row matrix: A matrix containing only one row is called a row matrix.  So a matrix \mathrm{A=[a_{ij}]_{m\times n}\;}  is said to be a row matrix when m = 1.

E.g 

\\\mathrm{\begin{bmatrix} a_{11} &a_{12} &a_{13} &... &... &a_{1n} \end{bmatrix}_{1\times n}} 

 

-

here m=1 and n=3

therefore the given matrix is of order 1x3

hence correct option is (a)

Posted by

Rishabh

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